Low Pass Filter

This MATLAB M-file source code implements a low pass filter designed to smooth input signals and remove high-frequency noise components.

% Define filter parameters Fs = 1000; % Sampling frequency (Hz) Fc = 100; % Cutoff frequency (Hz) % Create 4th-order Butterworth low-pass filter [b, a] = butter(4, Fc/(Fs/2), 'low'); % The butter() function designs a Butterworth filter with optimal flat frequency response % 4th order provides 24 dB/octave roll-off, Fc/(Fs/2) normalizes cutoff frequency % Input signal example input_signal = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]; % Apply filter using difference equation implementation output_signal = filter(b, a, input_signal); % filter() function implements the difference equation: % a(1)*y(n) = b(1)*x(n) + b(2)*x(n-1) + ... - a(2)*y(n-1) - ... % Display filtered output disp(output_signal);

This sample code demonstrates a basic low-pass filter implementation. You can modify the sampling frequency, cutoff frequency, and input signal parameters according to your specific application requirements. The Butterworth design provides maximally flat passband response while maintaining smooth roll-off characteristics.